Search a number
-
+
51342336 = 21034619
BaseRepresentation
bin1100001111011…
…0110000000000
310120121110110000
43003312300000
5101120423321
65032240000
71162255053
oct303666000
9116543400
1051342336
1126a88291
1215240000
13a8383a6
146b66a9a
154792826
hex30f6c00

51342336 has 110 divisors (see below), whose sum is σ = 153565940. Its totient is φ = 17086464.

The previous prime is 51342323. The next prime is 51342359. The reversal of 51342336 is 63324315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82635 + ... + 83253.

It is an arithmetic number, because the mean of its divisors is an integer number (1396054).

Almost surely, 251342336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51342336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76782970).

51342336 is an abundant number, since it is smaller than the sum of its proper divisors (102223604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51342336 is an equidigital number, since it uses as much as digits as its factorization.

51342336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 624 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 51342336 is about 7165.3566554638. The cubic root of 51342336 is about 371.6708847701.

It can be divided in two parts, 513 and 42336, that added together give a square (42849 = 2072).

The spelling of 51342336 in words is "fifty-one million, three hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 619 648 768 864 1024 1152 1238 1296 1536 1728 1857 2304 2476 2592 3072 3456 3714 4608 4952 5184 5571 6912 7428 9216 9904 10368 11142 13824 14856 16713 19808 20736 22284 27648 29712 33426 39616 41472 44568 50139 59424 66852 79232 82944 89136 100278 118848 133704 158464 178272 200556 237696 267408 316928 356544 401112 475392 534816 633856 713088 802224 950784 1069632 1426176 1604448 1901568 2139264 2852352 3208896 4278528 5704704 6417792 8557056 12835584 17114112 25671168 51342336